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Finding the Fourth Proportional to 3,876.62, 5,822.39 and 3,322.58

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Solution

The fourth proportional to 3,876.62, 5,822.39 and 3,322.58 is: 4,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.62 : 5,822.39 = 3,322.58 : x
  2. Step 2: Convert to fraction form
    3,876.62/5,822.39 = 3,322.58/x
  3. Step 3: Cross multiply
    3,876.62x = 5,822.39 × 3,322.58
  4. Step 4: Simplify right side
    3,876.62x = 19,345,356.57
  5. Step 5: Solve for x
    x = 19,345,356.57/3,876.62
  6. Step 6: Final answer
    x = 4,990.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.